English

Locality of Interatomic Interactions in Self-Consistent Tight Binding Models

Mathematical Physics 2020-09-10 v1 math.MP

Abstract

A key starting assumption in many classical interatomic potential models for materials is a site energy decomposition of the potential energy surface into contributions that only depend on a small neighbourhood. Under a natural stability condition, we construct such a spatial decomposition for self-consistent tight binding models, extending recent results for linear tight binding models to the non-linear setting.

Keywords

Cite

@article{arxiv.2004.09323,
  title  = {Locality of Interatomic Interactions in Self-Consistent Tight Binding Models},
  author = {Jack Thomas},
  journal= {arXiv preprint arXiv:2004.09323},
  year   = {2020}
}

Comments

15 pages

R2 v1 2026-06-23T14:58:06.082Z